Remark 3.1 Note that, while we concentrated above on Forman's Ricci curvature, one can substitute instead Ollivier's discretization [1]}, [2]}, as it is widely employed in Network Theory (see, e.g. [3]}, [4]}, [5]}, [6]}, [7]}). We preferred Forman's curvature for a number of reasons, perhaps not the least of them being its clear computational advantages, as well as for the easy manner in which it extends to higher dimension. An additional advantage we already mentioned above, namely that by its defining formula it comes coupled with a Laplacian, also allows us to explore new directions of study – See Section  below.

